COMBINATORIAL APPROXIMATION BY DEVANEY-CHAOTIC OR PERIODIC VOLUME PRESERVING HOMEOMORPHISMS

DOI10.1142/S0218127499000596zbMath1089.37503OpenAlexW2066677623MaRDI QIDQ5474005

Steven Alpern

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000596

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Chaotic tracial dynamics ⋮ Topological entropy of Devaney chaotic maps

Cites Work

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• Ends of maps. III: Dimensions 4 and 5
• New proofs that weak mixing is generic
• Stable homeomorphisms and the annulus conjecture
• Stable structures on manifolds. I: Homeomorphismus of \(S^ n\). II: Stable manifolds. III: Applications
• Measure-preserving homeomorphisms and metrical transitivity
• Lusin's theorem for measure preserving homeomorphisms
• On Devaney's Definition of Chaos
• Yet Another Definition of Chaos
• Constructing Permutations that Approximate Lebesgue Measure Preserving Dynamical Systems Under Spatial Discretization
• Typical Transitivity for Lifts of Rotationless Annulus or Torus Homeomorphisms
• Note on Transitive Transformations

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